Free vibrations of small-scale plates with complex shape based on the nonlocal elasticity theory

Free vibrations of the orthotropic micro/nanoplate with nonclassical shape are investigated. The considered model is based on the nonlocal elasticity theory. The developed method uses the Ritz method as well as R-function theory for the construction of the system of coordinate functions. The linear...

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Veröffentlicht in:	Acta mechanica 2022-11, Vol.233 (11), p.5009-5019
Hauptverfasser:	Kurpa, Lidiya, Awrejcewicz, Jan, Mazur, Olga, Morachkovska, Iryna
Format:	Artikel
Sprache:	eng
Schlagworte:	Analysis Applied mathematics Boundary conditions Classical and Continuum Physics Control Dynamical Systems Engineering Engineering Fluid Dynamics Engineering Thermodynamics Free vibration Heat and Mass Transfer Investigations Nonlocal elasticity Original Paper Rectangular plates Ritz method Solid Mechanics Theoretical and Applied Mechanics Vibration
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Beschreibung
Zusammenfassung:	Free vibrations of the orthotropic micro/nanoplate with nonclassical shape are investigated. The considered model is based on the nonlocal elasticity theory. The developed method uses the Ritz method as well as R-function theory for the construction of the system of coordinate functions. The linear frequencies are obtained for a rectangular plate with two cutouts on opposite sides, while the boundary conditions are considered of several types, including simply supported and clamped edges. The small-scale effects for various sizes of cutouts are discussed.
ISSN:	0001-5970 1619-6937
DOI:	10.1007/s00707-022-03361-w